#include #include #include using std::cin; using std::cout; const char endl = '\n'; const int N = 1e5 + 5; int n, m, r, p, a[N]; std::vector g[N]; int cnt, id[N], rid[N], fa[N], dep[N], siz[N], son[N], top[N]; struct node { int l, r; long long s, d; node() : l(0), r(0), s(0), d(0) {} node(int _l, int _r) : l(_l), r(_r), s(0), d(0) {} } tr[N << 2]; inline void pushup(int u) { tr[u].s = (tr[u << 1].s + tr[u << 1 | 1].s) % p; } inline void pushdown(int u) { node &root = tr[u], &left = tr[u << 1], &right = tr[u << 1 | 1]; left.s = (left.s + (left.r - left.l + 1) * root.d) % p; left.d = (left.d + root.d) % p; right.s = (right.s + (right.r - right.l + 1) * root.d) % p; right.d = (right.d + root.d) % p; root.d = 0; } void build(int u, int l, int r) { tr[u] = node(l, r); if (l == r) { tr[u].s = a[rid[l]] % p; return; } int mid = l + r >> 1; build(u << 1, l, mid); build(u << 1 | 1, mid + 1, r); pushup(u); } void modify(int u, int l, int r, int d) { if (l <= tr[u].l && tr[u].r <= r) { tr[u].s = (tr[u].s + (tr[u].r - tr[u].l + 1) * d) % p; tr[u].d = (tr[u].d + d) % p; return; } pushdown(u); int mid = tr[u].l + tr[u].r >> 1; if (l <= mid) modify(u << 1, l, r, d); if (r > mid) modify(u << 1 | 1, l, r, d); pushup(u); } long long query(int u, int l, int r) { if (l <= tr[u].l && tr[u].r <= r) return tr[u].s % p; pushdown(u); int mid = tr[u].l + tr[u].r >> 1; long long res = 0; if (l <= mid) res = (res + query(u << 1, l, r)) % p; if (r > mid) res = (res + query(u << 1 | 1, l, r)) % p; return res; } void dfs1(int u, int f) { fa[u] = f; dep[u] = dep[f] + 1; siz[u] = 1; for (int v : g[u]) { if (v == f) continue; dfs1(v, u); siz[u] += siz[v]; if (siz[son[u]] < siz[v]) son[u] = v; } } void dfs2(int u, int t) { rid[id[u] = ++cnt] = u; top[u] = t; if (!son[u]) return; dfs2(son[u], t); for (int v : g[u]) { if (v == fa[u] || v == son[u]) continue; dfs2(v, v); } } void modify_path(int u, int v, int x) { while (top[u] != top[v]) { if (dep[top[u]] < dep[top[v]]) std::swap(u, v); modify(1, id[top[u]], id[u], x); u = fa[top[u]]; } if (dep[u] < dep[v]) std::swap(u, v); modify(1, id[v], id[u], x); } int query_path(int u, int v) { int res = 0; while (top[u] != top[v]) { if (dep[top[u]] < dep[top[v]]) std::swap(u, v); res = (res + query(1, id[top[u]], id[u])) % p; u = fa[top[u]]; } if (dep[u] < dep[v]) std::swap(u, v); res = (res + query(1, id[v], id[u])) % p; return res; } void modify_tree(int u, int x) { modify(1, id[u], id[u] + siz[u] - 1, x); } int query_tree(int u) { return query(1, id[u], id[u] + siz[u] - 1); } int main() { std::ios::sync_with_stdio(false); cin.tie(nullptr); cin >> n >> m >> r >> p; for (int i = 1; i <= n; i++) { cin >> a[i]; } for (int i = 1, x, y; i < n; i++) { cin >> x >> y; g[x].emplace_back(y); g[y].emplace_back(x); } dfs1(r, r); dfs2(r, r); build(1, 1, n); for (int i = 1; i <= m; i++) { int op; cin >> op; if (op == 1) { int x, y, z; cin >> x >> y >> z; modify_path(x, y, z); } else if (op == 2) { int x, y; cin >> x >> y; cout << query_path(x, y) << endl; } else if (op == 3) { int x, z; cin >> x >> z; modify_tree(x, z); } else { // op == 4 int x; cin >> x; cout << query_tree(x) << endl; } } return 0; }